Question

A man earns a profit of 20% if he sells an article for 1080. If he sells another similar article with a loss of
10%, what is the selling price of the article sold with a loss?
1. 810
2. 1080
3. 1000
4.900​

Answer 1

Answer:

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Answer 2

Given:

If a man sells an article for 1080 profit is 20%

To Find:

the selling price of the article sold with a loss of 10%

Solution:

As given Profit is 20% when S.P is 1080

profit % = ( S.P. - C.P.)/ C.P.

20 = (1080 - C.P.) × 100/ C.P.

20 C.P. = (1080 - C.P.) × 100

(20 C.P.)/100 = 1080 - C.P.

C.P./5 = 1080 - C.P.

C.P.= 5400 - 5 C.P.

6 C.P. = 5400

C.P.= 5400 /6

C.P.= 900

So the cost price of an article is 900.

If loss is 10%,

loss % = (C.P - S.P) × 100 / C.P.

10 = (900 - S.P.) × 100 / C.P.

10 × 900 = 90000 - 100 S.P.

9000 = 90000 - 100 S.P.

100 S.P. = 81000

S.P. = 81000/100

S.P. = 810

Hence, with a loss of 10%, the selling price of the article will be 810 rupees.